If `(alpha, alpha)` is a point on the circle whose centre is on the x-axis and which touches the line `x + y = 0` at `(2,-2)`, then the greatest value of `'alpha'` is

If (alpha ,beta) is a point on the circle whose centre is on the x-axis and which touches the line x+y=0 at (2,-2), then the greatest value of 'alpha' is :

If (alpha,beta) is a point on the circle whose center is on the x-axis and which touches the line x+y=0 at (2,-2), then the greatest value of alpha is (a)4-sqrt(2)(b)6(c)4+2sqrt(2)(d)+sqrt(2)

If (alpha,beta) is a point on the circle whose center is on the x-axis and which touches the line x+y=0 at (2,-2), then the greatest value of alpha is (a) 4-sqrt(2) (b) 6 (c) 4+2sqrt(2) (d) +sqrt(2)

If (alpha,beta) is a point on the circle whose center is on the x-axis and which touches the line x+y=0 at (2,-2), then the greatest value of alpha is (a) 4-sqrt(2) (b) 6 (c) 4+2sqrt(2) (d) +sqrt(2)

If (alpha,beta) is a point on the circle whose center is on the x-axis and which touches the line x+y=0 at (2,-2), then the greatest value of alpha is (a) 4-sqrt(2) (b) 6 (c) 4+2sqrt(2) (d) +sqrt(2)

If (alpha,beta) is the centre of the circle which touches the curve x^(2)+xy-y^(2)=4 at (2,2) and the line 3x-y+6=0 ,then the value of alpha+beta is equal to

Draw the circle which touches x-axis and its centre is (alpha, beta) .

The line x sin alpha - y cos alpha =a touches the circle x ^(2) +y ^(2) =a ^(2), then,

If the point (alpha, alpha^(4)) lies on or inside the triangle formed by lines x^(2)y+xy^(2)-2xy=0 , then the largest value of alpha is .

If the point (alpha, alpha^(4)) lies on or inside the triangle formed by lines x^(2)y+xy^(2)-2xy=0 , then the largest value of alpha is .